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Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics

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Regularity Estimates for Nonlinear Elliptic and Parabolic Problems

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 2045))

Abstract

This course will be concerned with applications of recent work—techniques concerning the boundary behavior of positive p harmonic functions vanishing on a portion of the boundary of Lipschitz, chord arc, and Reifenberg flat domains.

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Acknowledgements

Work partially supported by NSF DMS-0900291.

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  1. Mathematics Department, University of Kentucky, Lexington, KY, 40506, USA

    J. Lewis

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Lewis, J. (2012). Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics. In: Regularity Estimates for Nonlinear Elliptic and Parabolic Problems. Lecture Notes in Mathematics(), vol 2045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27145-8_1

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